Related papers: Cayley-Hamilton Decomposition and Spectral Asymmet…

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

This paper has been withdrawn by the author because there is a gap in Lemma 9.

The paper is withdrawn. The proof has an error and it requires a different approach.

This article has been withdrawn due to an error in a proof of the main result.

The paper was withdrawn due to a gap in the proof of Lemma 3.

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn due to a error in Theorem 3.1.

This paper has been withdrawn by the author due a few mistakes in the paper.

The paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the authors due to a crucial error.

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

This paper has been withdrawn because Proposition 2.2 (c) is false. This invalids the main results of section 2 and 3. We thank A. Canonaco for pointing us the error.

This paper has been withdrawn by the author due to a crucial error in one of equation in (3).

This paper has been withdrawn by the author due to a crucial errors.